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Rate of change in a real-world situation

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

The rate of change is how much the amount changes in each time period. It is negative if the amount goes down.

  1. A candle is 20 cm tall and burns down 6 cm every hour. What is the rate of change, in cm per hour? Write a negative number if it decreases.
  2. A candle is 8 cm tall and burns down 8 cm every hour. What is the rate of change, in cm per hour? Write a negative number if it decreases.
  3. A candle is 27 cm tall and burns down 7 cm every hour. What is the rate of change, in cm per hour? Write a negative number if it decreases.
  4. A hiker is 20 km from camp and walks toward it at 4 km every hour. What is the rate of change, in km per hour? Write a negative number if it decreases.
  5. A jar holds 54 coins and 4 more coins are added each week. What is the rate of change, in coins per week? Write a negative number if it decreases.
  6. A jar holds 12 coins and 7 more coins are added each week. What is the rate of change, in coins per week? Write a negative number if it decreases.
  7. A pool holds 69 L of water and a hose adds 2 L every minute. What is the rate of change, in L per minute? Write a negative number if it decreases.
  8. A hiker is 68 km from camp and walks toward it at 12 km every hour. What is the rate of change, in km per hour? Write a negative number if it decreases.
  9. A jar holds 41 coins and 13 more coins are added each week. What is the rate of change, in coins per week? Write a negative number if it decreases.
  10. A hiker is 78 km from camp and walks toward it at 2 km every hour. What is the rate of change, in km per hour? Write a negative number if it decreases.
  11. A hiker is 87 km from camp and walks toward it at 15 km every hour. What is the rate of change, in km per hour? Write a negative number if it decreases.
  12. A hiker is 97 km from camp and walks toward it at 5 km every hour. What is the rate of change, in km per hour? Write a negative number if it decreases.
  13. A jar holds 50 coins and 9 more coins are added each week. What is the rate of change, in coins per week? Write a negative number if it decreases.
  14. A pool holds 77 L of water and a hose adds 12 L every minute. What is the rate of change, in L per minute? Write a negative number if it decreases.
  15. A jar holds 107 coins and 16 more coins are added each week. What is the rate of change, in coins per week? Write a negative number if it decreases.
  16. A pool holds 106 L of water and a hose adds 2 L every minute. What is the rate of change, in L per minute? Write a negative number if it decreases.
  17. A candle is 41 cm tall and burns down 8 cm every hour. What is the rate of change, in cm per hour? Write a negative number if it decreases.
  18. A candle is 186 cm tall and burns down 13 cm every hour. What is the rate of change, in cm per hour? Write a negative number if it decreases.
  19. A pool holds 171 L of water and a hose adds 11 L every minute. What is the rate of change, in L per minute? Write a negative number if it decreases.
  20. A hiker is 90 km from camp and walks toward it at 27 km every hour. What is the rate of change, in km per hour? Write a negative number if it decreases.
More free practice: fieldbooklearning.com/uk/practice/year-9/rate-of-change-in-a-real-world-situation/

Answer key: Rate of change in a real-world situation

  1. -6
  2. -8
  3. -7
  4. -4
  5. 4
  6. 7
  7. 2
  8. -12
  9. 13
  10. -2
  11. -15
  12. -5
  13. 9
  14. 12
  15. 16
  16. 2
  17. -8
  18. -13
  19. 11
  20. -27